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Color Lie algebras and Lie algebras of order \(F\). (English) Zbl 1207.17038

Summary: The notion of color algebras is generalized to the class of \(F\)-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras. It is, moreover, shown that color algebras admit realizations as \(q = 0\) quon algebras.

MSC:

17B75 Color Lie (super)algebras
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